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Quantum Engineering Year 0: Mathematical Foundations Month 8Day 199

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Year 0·Month 8·Week 1

Day 199: Electrostatic Potential

Day 199 of 2,016~9 min read

Learning Objectives

•Define electrostatic potential from work and energy considerations
•Derive the potential from field and vice versa
•State and derive Poisson's and Laplace's equations
•Calculate potentials for various charge distributions
•Understand the physical meaning of potential energy
•Connect to quantum mechanical potential energy in the Hamiltonian

Today's Schedule (7 hours)

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1 Work and Potential Energy 2 Electrostatic Potential 3 Potential from Charge Distributions 4 Poissons and Laplaces Equations 5 Properties of Harmonic Functions 6 Potential Energy of Charge Distributions Quantum Mechanics Connection The Quantum Potential Energy Why Potential Matters Poissons Equation and Charge Density

Day 198Day 199 of 2,016Day 200